101443120400 has 120 divisors (see below), whose sum is σ = 256822252800. Its totient is φ = 38399961600.

The previous prime is 101443120391. The next prime is 101443120417. The reversal of 101443120400 is 4021344101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7524866 + ... + 7538334.

It is an arithmetic number, because the mean of its divisors is an integer number (2140185440).

Almost surely, 2^101443120400 is an apocalyptic number.

101443120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101443120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128411126400).

101443120400 is an abundant number, since it is smaller than the sum of its proper divisors (155379132400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101443120400 is a wasteful number, since it uses less digits than its factorization.

101443120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14497 (or 14486 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101443120400 its reverse (4021344101), we get a palindrome (105464464501).

The spelling of 101443120400 in words is "one hundred one billion, four hundred forty-three million, one hundred twenty thousand, four hundred".